2020-10-08 16:36:29 +00:00
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/*
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* Copyright (c) 2015-2019 Sergey Bakhurin
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* Digital Signal Processing Library [http://dsplib.org]
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*
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* This file is part of libdspl-2.0.
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*
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* is free software: you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* DSPL is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Foobar. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include <string.h>
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#include <float.h>
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#include "dspl.h"
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#ifdef DOXYGEN_ENGLISH
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#endif
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#ifdef DOXYGEN_RUSSIAN
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#endif
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int DSPL_API psd_bartlett(double* x, int n, int nfft,
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fft_t* pfft, double fs,
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int flag, double* ppsd, double* pfrq)
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{
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int err, pos, k;
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double *pdgr = NULL;
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double *tmp = NULL;
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fft_t *ptr_fft = NULL;
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pos = 0;
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pdgr = (double*)malloc(nfft * sizeof(double));
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if(!pdgr)
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return ERROR_MALLOC;
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if(!pfft)
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{
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ptr_fft = (fft_t*)malloc(sizeof(fft_t));
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memset(ptr_fft, 0, sizeof(fft_t));
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}
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else
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ptr_fft = pfft;
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memset(ppsd, 0, nfft * sizeof(double));
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while(pos + nfft <= n)
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{
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err = fft_mag(x + pos, nfft, ptr_fft, fs,
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flag & DSPL_FLAG_FFT_SHIFT, pdgr, NULL);
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if(err != RES_OK)
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goto exit_label;
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for(k = 0; k < nfft; k++)
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ppsd[k] += pdgr[k];
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pos += nfft;
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}
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if(pos < n)
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{
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tmp = (double*)malloc(nfft * sizeof(double));
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if(!tmp)
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{
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err = ERROR_MALLOC;
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goto exit_label;
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}
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memset(tmp ,0, nfft * sizeof(double));
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memcpy(tmp, x + pos, (n - pos)*sizeof(double));
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err = fft_mag(tmp, nfft, ptr_fft, fs,
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flag & DSPL_FLAG_FFT_SHIFT, pdgr, NULL);
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if(err != RES_OK)
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goto exit_label;
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for(k = 0; k < nfft; k++)
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ppsd[k] += pdgr[k];
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}
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/* fill frequency */
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if(pfrq)
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{
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if(flag & DSPL_FLAG_FFT_SHIFT)
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if(n%2)
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err = linspace(-fs*0.5 + fs*0.5/(double)nfft,
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fs*0.5 - fs*0.5/(double)nfft,
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n, DSPL_SYMMETRIC, pfrq);
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else
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err = linspace(-fs*0.5, fs*0.5, nfft, DSPL_PERIODIC, pfrq);
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else
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err = linspace(0, fs, nfft, DSPL_PERIODIC, pfrq);
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}
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/* scale magnitude */
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if(flag & DSPL_FLAG_LOGMAG)
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{
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for(k = 0; k < nfft; k++)
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ppsd[k] = 10.0 * log10(ppsd[k] / (double)n / fs);
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}
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else
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{
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for(k = 0; k < nfft; k++)
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ppsd[k] /= (double)n * fs;
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}
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exit_label:
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if(pdgr)
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free(pdgr);
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if(tmp)
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free(tmp);
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if(ptr_fft && (ptr_fft != pfft))
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{
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fft_free(ptr_fft);
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free(ptr_fft);
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}
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return err;
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}
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#ifdef DOXYGEN_ENGLISH
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#endif
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#ifdef DOXYGEN_RUSSIAN
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2020-10-08 20:16:06 +00:00
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/*! ****************************************************************************
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\ingroup PSD_GROUP
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\fn
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int psd_periodogram(double* x, int n,
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int win_type, double win_param,
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fft_t* pfft, double fs,
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int flag, double* ppsd, double* pfrq)
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\brief Непараметрическая оценка спектральной плотности сигнала методом
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модифицированной периодограммы
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Функция рассчитывает спектральную плотность мощности \f$ X(f) \f$
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выборки сигнала длительности \$n \$ отсчетов методом модифицированной
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периодограммы:
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\f[
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X(f) = \frac{1}{N U F_s} \Big| \sum_{m = 0}^{n-1} w(m) x(m) \exp
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\left( -j \frac{2\pi} f m \right) \Big|^2,
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\f]
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где \f$ w(m) \f$ -- отсчёты оконной функции, \f$ F_s \f$ -- частота
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дискретизации (Гц), \f$ U \f$ нормировочный коэффициент равный
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\f[
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U \sum_{m = 0}^{n-1} w^2(m)
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\f]
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При использовании прямоугольного окна модифицированная периодограмма переходит
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в стандартную периодограмму.
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Расчет спектральной плотности мощности ведется при помощи алгоритмов быстрого
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преобразования Фурье, для дискретной сетки частот от 0 Гц до \f$ F_s \f$ Гц
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(по умолчанию), или от \f$-F_s /2 \f$ до \f$F_s /2 \f$, если установлен флаг
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расчета двусторонней периодограммы.
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\note Периодограмма, как стандартная, так и модифицированная возвращает
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асимптотически несмещенную, но несостоятельную оценку СПМ (уроверь флуктуаций
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шумовой составляющей СПМ не уменьшается с ростом длины выборки `n`).
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\param[in] x
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Указатель на входной вектор вещественного сигнала \f$x(m)\f$,
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\f$ m = 0 \ldots n-1 \f$. \n
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Размер вектора `[n x 1]`. \n \n
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\param[in] n
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Размер вектора входного сигнала.
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Также размер выходного вектора СПМ и
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вектора частоты также равны `n`.\n\n
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\param[in] win_type
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Тип оконной функции, применяемой для модифицированной периодограммы.\n
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Подробнее смотри описание функции \ref window. \n\n
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\param[in] win_type
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Параметр оконной функции.\n
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Данный параметр используется, если задано параметрическая оконная функция.
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Для непараметрических окон данный параметр игнорируется.\n
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Подробнее смотри описание функции \ref window. \n\n
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\param[in] pfft
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Указатель на структуру `fft_t`. \n
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Указатель может быть `NULL`. В этом случае объект структуры будет
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создан внутри функции и удален перед завершением.\n
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Если предполагается многократный вызов функции, то рекомендуется создать
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объект `fft_t` и передавать в функцию, чтобы не создавать его каждый раз. \n\n
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\param[in] fs
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частота дискретизации выборки исходного сигнала (Гц). \n\n
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\param[in] flag
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Комбинация битовых флагов, задающих режим расчета:
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\verbatim
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DSPL_FLAG_LOGMAG - СПМ считать в логарифмическом масштабе в единицах дБ/Гц
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DSPL_FLAG_PSD_TWOSIDED - двусторонняя СПМ (от -Fs/2 до Fs/2)
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\endverbatim
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\param[in, out] ppsd
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Указатель на вектор СПМ расчитанных по входному сигналу $x$. \n
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Размер вектора `[n x 1]`. \n
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Память должна быть выделена. \n\n
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\param[in, out] pfrq
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Указатель на вектор частоты, соответсвующей
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значениям рассчитанного вектора СПМ. \n
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Размер вектора `[n x 1]`. \n
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Указатель можеть быть `NULL`,в этом случае вектор частоты не
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рассчитывается и не возвращается. \n\n
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\return
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`RES_OK` если расчет произведен успешно. \n
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В противном случае \ref ERROR_CODE_GROUP "код ошибки". \n \n
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\author Бахурин Сергей www.dsplib.org
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***************************************************************************** */
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2020-10-08 16:36:29 +00:00
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#endif
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int DSPL_API psd_periodogram(double* x, int n,
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int win_type, double win_param,
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fft_t* pfft, double fs,
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int flag, double* ppsd, double* pfrq)
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{
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double *w = NULL;
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double *s = NULL;
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double u, wn;
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int err, k;
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fft_t *ptr_fft = NULL;
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if(!x || !ppsd)
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return ERROR_PTR;
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if(n<1 )
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return ERROR_SIZE;
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if(fs < 0.0)
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return ERROR_FS;
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if(!pfft)
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{
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ptr_fft = (fft_t*)malloc(sizeof(fft_t));
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memset(ptr_fft, 0, sizeof(fft_t));
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}
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else
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ptr_fft = pfft;
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if(win_type != DSPL_WIN_RECT)
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{
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/* Modified periodogram calculation */
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/* window malloc */
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w = (double*)malloc(n*sizeof(double));
|
|
|
|
|
|
if(!w)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* create window */
|
|
|
|
|
|
err = window(w, n, win_type, win_param);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
/* window normalization wn = sum(w.^2) */
|
|
|
|
|
|
wn = 0;
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
wn += w[k]*w[k];
|
|
|
|
|
|
|
|
|
|
|
|
/* signal buffer malloc */
|
|
|
|
|
|
s = (double*)malloc(n*sizeof(double));
|
|
|
|
|
|
if(!s)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* windowing */
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
s[k] = x[k] * w[k];
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
/* classic periodogram without windowing */
|
|
|
|
|
|
s = x;
|
|
|
|
|
|
wn = (double)n;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* calculate FFT */
|
|
|
|
|
|
err = fft_mag(s, n, ptr_fft, fs, flag, ppsd, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_LOGMAG)
|
|
|
|
|
|
{
|
|
|
|
|
|
/* normalization in log scale */
|
|
|
|
|
|
u = 10.0 * log10(wn * fs);
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
ppsd[k] -= u;
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
/* normalization in linear scale */
|
|
|
|
|
|
u = 1.0 / (wn * fs);
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
ppsd[k] *= u;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
exit_label:
|
|
|
|
|
|
if(w)
|
|
|
|
|
|
free(w);
|
|
|
|
|
|
if(s && s != x)
|
|
|
|
|
|
free(s);
|
|
|
|
|
|
if(ptr_fft && (ptr_fft != pfft))
|
|
|
|
|
|
{
|
|
|
|
|
|
fft_free(ptr_fft);
|
|
|
|
|
|
free(ptr_fft);
|
|
|
|
|
|
}
|
|
|
|
|
|
return err;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef DOXYGEN_ENGLISH
|
|
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
#ifdef DOXYGEN_RUSSIAN
|
|
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
int DSPL_API psd_periodogram_cmplx(complex_t* x, int n,
|
|
|
|
|
|
int win_type, double win_param,
|
|
|
|
|
|
fft_t* pfft, double fs,
|
|
|
|
|
|
int flag, double* ppsd, double* pfrq)
|
|
|
|
|
|
{
|
|
|
|
|
|
double *w = NULL;
|
|
|
|
|
|
complex_t *s = NULL;
|
|
|
|
|
|
double u, wn;
|
|
|
|
|
|
int err, k;
|
|
|
|
|
|
fft_t *ptr_fft = NULL;
|
|
|
|
|
|
|
|
|
|
|
|
if(!x || !ppsd)
|
|
|
|
|
|
return ERROR_PTR;
|
|
|
|
|
|
|
|
|
|
|
|
if(n<1 )
|
|
|
|
|
|
return ERROR_SIZE;
|
|
|
|
|
|
|
|
|
|
|
|
if(fs < 0.0)
|
|
|
|
|
|
return ERROR_FS;
|
|
|
|
|
|
|
|
|
|
|
|
if(!pfft)
|
|
|
|
|
|
{
|
|
|
|
|
|
ptr_fft = (fft_t*)malloc(sizeof(fft_t));
|
|
|
|
|
|
memset(ptr_fft, 0, sizeof(fft_t));
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
ptr_fft = pfft;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if(win_type != DSPL_WIN_RECT)
|
|
|
|
|
|
{
|
|
|
|
|
|
/* Modified periodogram calculation */
|
|
|
|
|
|
|
|
|
|
|
|
/* window malloc */
|
|
|
|
|
|
w = (double*)malloc(n*sizeof(double));
|
|
|
|
|
|
if(!w)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* create window */
|
|
|
|
|
|
err = window(w, n, win_type, win_param);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
/* window normalization wn = sum(w.^2) */
|
|
|
|
|
|
wn = 0;
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
wn += w[k]*w[k];
|
|
|
|
|
|
|
|
|
|
|
|
/* signal buffer malloc */
|
|
|
|
|
|
s = (complex_t*)malloc(n*sizeof(complex_t));
|
|
|
|
|
|
if(!s)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* windowing */
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
{
|
|
|
|
|
|
RE(s[k]) = RE(x[k]) * w[k];
|
|
|
|
|
|
IM(s[k]) = IM(x[k]) * w[k];
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
/* classic periodogram without windowing */
|
|
|
|
|
|
s = x;
|
|
|
|
|
|
wn = (double)n;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/* calculate FFT */
|
|
|
|
|
|
err = fft_mag_cmplx(s, n, ptr_fft, fs, flag, ppsd, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_LOGMAG)
|
|
|
|
|
|
{
|
|
|
|
|
|
/* normalization in log scale */
|
|
|
|
|
|
u = 10.0 * log10(wn * fs);
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
ppsd[k] -= u;
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
/* normalization in linear scale */
|
|
|
|
|
|
u = 1.0 / (wn * fs);
|
|
|
|
|
|
for(k = 0; k < n; k++)
|
|
|
|
|
|
ppsd[k] *= u;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
exit_label:
|
|
|
|
|
|
if(w)
|
|
|
|
|
|
free(w);
|
|
|
|
|
|
if(s && s != x)
|
|
|
|
|
|
free(s);
|
|
|
|
|
|
if(ptr_fft && (ptr_fft != pfft))
|
|
|
|
|
|
{
|
|
|
|
|
|
fft_free(ptr_fft);
|
|
|
|
|
|
free(ptr_fft);
|
|
|
|
|
|
}
|
|
|
|
|
|
return err;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
#ifdef DOXYGEN_ENGLISH
|
|
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
#ifdef DOXYGEN_RUSSIAN
|
|
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
int DSPL_API psd_welch(double* x, int n,
|
|
|
|
|
|
int win_type, double win_param,
|
|
|
|
|
|
int npsd, int noverlap, fft_t* pfft, double fs,
|
|
|
|
|
|
int flag, double* ppsd, double* pfrq)
|
|
|
|
|
|
{
|
|
|
|
|
|
double *win = NULL;
|
|
|
|
|
|
double wg;
|
|
|
|
|
|
complex_t *tmp = NULL;
|
|
|
|
|
|
double *s = NULL;
|
|
|
|
|
|
int err, k, pos, cnt;
|
|
|
|
|
|
fft_t *ptr_fft = NULL;
|
|
|
|
|
|
|
|
|
|
|
|
if(!x || !ppsd)
|
|
|
|
|
|
return ERROR_PTR;
|
|
|
|
|
|
|
|
|
|
|
|
if(n<1 || npsd < 1)
|
|
|
|
|
|
return ERROR_SIZE;
|
|
|
|
|
|
|
|
|
|
|
|
if(noverlap < 1 || noverlap > npsd)
|
|
|
|
|
|
return ERROR_OVERLAP;
|
|
|
|
|
|
|
|
|
|
|
|
if(fs < 0.0)
|
|
|
|
|
|
return ERROR_FS;
|
|
|
|
|
|
|
|
|
|
|
|
win = (double*)malloc(npsd * sizeof(double));
|
|
|
|
|
|
if(!win)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
if(!pfft)
|
|
|
|
|
|
{
|
|
|
|
|
|
ptr_fft = (fft_t*)malloc(sizeof(fft_t));
|
|
|
|
|
|
memset(ptr_fft, 0, sizeof(fft_t));
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
ptr_fft = pfft;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
err = window(win, npsd, win_type, win_param);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
wg = 0.0;
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
wg += win[k] * win[k];
|
|
|
|
|
|
wg = 1.0 / wg;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
tmp = (complex_t*)malloc(npsd*sizeof(complex_t));
|
|
|
|
|
|
if(!tmp)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
s = (double*)malloc(npsd*sizeof(double));
|
|
|
|
|
|
if(!s)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
pos = 0;
|
|
|
|
|
|
cnt = 0;
|
|
|
|
|
|
memset(ppsd, 0, npsd*sizeof(double));
|
|
|
|
|
|
while(pos+npsd <= n)
|
|
|
|
|
|
{
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
s[k] = x[k+pos]*win[k];
|
|
|
|
|
|
|
|
|
|
|
|
err = fft(s, npsd, ptr_fft, tmp);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] += wg * ABSSQR(tmp[k]);
|
|
|
|
|
|
|
|
|
|
|
|
pos += noverlap;
|
|
|
|
|
|
cnt++;
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] /= (double)cnt * fs;
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_LOGMAG)
|
|
|
|
|
|
{
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] = 10.0 * log10(ppsd[k] + DBL_EPSILON);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_PSD_TWOSIDED)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = fft_shift(ppsd, npsd, ppsd);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
if(pfrq)
|
|
|
|
|
|
{
|
|
|
|
|
|
if(flag & DSPL_FLAG_PSD_TWOSIDED)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = linspace(-0.5*fs, fs*0.5, npsd, DSPL_PERIODIC, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
err = linspace(0, fs, npsd, DSPL_PERIODIC, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
err = RES_OK;
|
|
|
|
|
|
exit_label:
|
|
|
|
|
|
if(win)
|
|
|
|
|
|
free(win);
|
|
|
|
|
|
if(tmp)
|
|
|
|
|
|
free(tmp);
|
|
|
|
|
|
if(s)
|
|
|
|
|
|
free(s);
|
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if(ptr_fft && (ptr_fft != pfft))
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free(ptr_fft);
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return err;
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}
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#ifdef DOXYGEN_ENGLISH
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#endif
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#ifdef DOXYGEN_RUSSIAN
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#endif
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int DSPL_API psd_welch_cmplx(complex_t* x, int n,
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int win_type, double win_param,
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int npsd, int noverlap, fft_t* pfft, double fs,
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int flag, double* ppsd, double* pfrq)
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{
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double *win = NULL;
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complex_t *tmp = NULL;
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complex_t *s = NULL;
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fft_t *ptr_fft = NULL;
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double wg;
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int err, k, pos, cnt;
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if(!x || !ppsd)
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return ERROR_PTR;
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if(n<1 || npsd < 1)
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return ERROR_SIZE;
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if(noverlap < 1 || noverlap > npsd)
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return ERROR_OVERLAP;
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if(fs < 0.0)
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return ERROR_FS;
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win = (double*)malloc(npsd * sizeof(double));
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if(!win)
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{
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err = ERROR_MALLOC;
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goto exit_label;
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}
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if(!pfft)
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{
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ptr_fft = (fft_t*)malloc(sizeof(fft_t));
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memset(ptr_fft, 0, sizeof(fft_t));
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}
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else
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ptr_fft = pfft;
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err = window(win, npsd, win_type, win_param);
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if(err != RES_OK)
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|
goto exit_label;
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|
wg = 0.0;
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|
for(k = 0; k < npsd; k++)
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|
wg += win[k] * win[k];
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|
wg = 1.0 / wg;
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|
tmp = (complex_t*)malloc(npsd*sizeof(complex_t));
|
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|
|
if(!tmp)
|
|
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|
|
{
|
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|
err = ERROR_MALLOC;
|
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|
|
goto exit_label;
|
|
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|
|
}
|
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|
|
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|
|
s = (complex_t*)malloc(npsd*sizeof(complex_t));
|
|
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|
|
if(!s)
|
|
|
|
|
|
{
|
|
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|
|
|
err = ERROR_MALLOC;
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
pos = 0;
|
|
|
|
|
|
cnt = 0;
|
|
|
|
|
|
memset(ppsd, 0, npsd*sizeof(double));
|
|
|
|
|
|
while(pos+npsd <= n)
|
|
|
|
|
|
{
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
{
|
|
|
|
|
|
RE(s[k]) = RE(x[k+pos])*win[k];
|
|
|
|
|
|
IM(s[k]) = IM(x[k+pos])*win[k];
|
|
|
|
|
|
}
|
|
|
|
|
|
err = fft_cmplx(s, npsd, ptr_fft, tmp);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] += wg * ABSSQR(tmp[k]);
|
|
|
|
|
|
|
|
|
|
|
|
pos += noverlap;
|
|
|
|
|
|
cnt++;
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] /= (double)cnt * fs;
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_LOGMAG)
|
|
|
|
|
|
{
|
|
|
|
|
|
for(k = 0; k < npsd; k++)
|
|
|
|
|
|
ppsd[k] = 10.0 * log10(ppsd[k] + DBL_EPSILON);
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
if(flag & DSPL_FLAG_PSD_TWOSIDED)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = fft_shift(ppsd, npsd, ppsd);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
if(pfrq)
|
|
|
|
|
|
{
|
|
|
|
|
|
if(flag & DSPL_FLAG_PSD_TWOSIDED)
|
|
|
|
|
|
{
|
|
|
|
|
|
err = linspace(-0.5*fs, fs*0.5, npsd, DSPL_PERIODIC, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
else
|
|
|
|
|
|
{
|
|
|
|
|
|
err = linspace(0, fs, npsd, DSPL_PERIODIC, pfrq);
|
|
|
|
|
|
if(err != RES_OK)
|
|
|
|
|
|
goto exit_label;
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
err = RES_OK;
|
|
|
|
|
|
|
|
|
|
|
|
exit_label:
|
|
|
|
|
|
if(win)
|
|
|
|
|
|
free(win);
|
|
|
|
|
|
if(tmp)
|
|
|
|
|
|
free(tmp);
|
|
|
|
|
|
if(s)
|
|
|
|
|
|
free(s);
|
|
|
|
|
|
if(ptr_fft && (ptr_fft != pfft))
|
|
|
|
|
|
free(ptr_fft);
|
|
|
|
|
|
return err;
|
|
|
|
|
|
}
|
